9600912000 has 384 divisors, whose sum is σ = 35076571920. Its totient is φ = 2515968000.

The previous prime is 9600911987. The next prime is 9600912017. The reversal of 9600912000 is 2190069.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 417139776 + 9183772224 = 20424^2 + 95832^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9600912000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8783454 + ... + 8784546.

Almost surely, 2^9600912000 is an apocalyptic number.

9600912000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9600912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17538285960).

9600912000 is an abundant number, since it is smaller than the sum of its proper divisors (25475659920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9600912000 is a wasteful number, since it uses less digits than its factorization.

9600912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9600912000 is about 97984.2436313104. The cubic root of 9600912000 is about 2125.3844379435.

It can be divided in two parts, 9600 and 912000, that added together give a square (921600 = 960²).

The spelling of 9600912000 in words is "nine billion, six hundred million, nine hundred twelve thousand".